Online GCD Calculator is useful to find the GCD of 928, 864, 344, 532 quickly. Get the easiest ways to solve the greatest common divisor of 928, 864, 344, 532 i.e 4 in different methods as follows.
Given Input numbers are 928, 864, 344, 532
In the factoring method, we have to find the divisors of all numbers
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
GCD of numbers is the greatest common divisor
So, the GCD (928, 864, 344, 532) = 4.
Given numbers are 928, 864, 344, 532
The list of prime factors of all numbers are
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 532 are 2 x 2 x 7 x 19
The highest common occurrence is 22
Therefore, GCD of 928, 864, 344, 532 is 4.
Given numbers are 928, 864, 344, 532
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(928, 864) = 25056
GCD(928, 864) = ( 928 x 864 ) / 25056
= 928 / 864
= 928
Step2:
LCM(32, 344) = 1376
GCD(32, 344) = ( 32 x 344 ) / 1376
= 32 / 344
= 32
Step3:
LCM(8, 532) = 1064
GCD(8, 532) = ( 8 x 532 ) / 1064
= 8 / 532
= 8
So, Greatest Common Divisor of 928, 864, 344, 532 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 928, 864, 344, 532
The greatest common divisor of numbers 928, 864, 344, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 864, 344, 532 is 4.
1. What is the GCD of 928, 864, 344, 532?
GCD of given numbers 928, 864, 344, 532 is 4
2. How to calculate the greatest common divisor of 928, 864, 344, 532?
We can find the highest common divisor of 928, 864, 344, 532 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 928, 864, 344, 532 i.e 4.
3. How can I use the GCD of 928, 864, 344, 532Calculator?
Out the numbers 928, 864, 344, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.